对分式进行约分的算法

 1 /*
 2 欧几里德算法：辗转求余
 3 原理： gcd(a,b)=gcd(b,a mod b)
 4 当b为0时，两数的最大公约数即为a
 5 getchar()会接受前一个scanf的回车符
 6 */
 7 #include<stdio.h>
 8 unsigned int Gcd(unsigned int M,unsigned int N)
 9 {
10     unsigned int Rem;
11     while(N > 0)
12     {
13         Rem = M % N;
14         M = N;
15         N = Rem;
16     }
17     return M;
18 }
19 int main(void)
20 {
21     int a,b;
22     scanf("%d %d",&a,&b);
23     printf("the greatest common factor of %d and %d is ",a,b);
24     printf("%d\n",Gcd(a,b));
25     return 0;
26 }